## Engage NY Eureka Math 4th Grade Module 5 Mid Module Assessment Answer Key

### Eureka Math Grade 4 Module 5 Mid Module Assessment Task Answer Key

Question 1.

Let each small square represent \(\frac{1}{4}\).

a. Using the same unit, draw and shade the following fractions. Represent each as a sum of unit fractions.

i. 1

ii. \(\frac{2}{4}\)

iii. \(\frac{5}{4}\)

b. Record the decompositions of Parts (i) and (iii) using only 2 addends.

i.

iii.

c. Rewrite the equations from Part (a) as the multiplication of a whole number by a unit fraction.

i.

ii.

iii.

Question 2.

a. Using the fractional units shown, identify the fraction of the rectangle that is shaded. Continue this pattern by drawing the next area model in the sequence and identifying the fraction shaded.

b. Use multiplication to explain why the first two fractions are equivalent.

Question 3.

Cross out the fraction that is not equivalent to the other three. Show how you know.

a. \(\frac{3}{5}\) \(\frac{60}{100}\) \(\frac{6}{10}\) \(\frac{6}{5}\)

b. \(\frac{6}{4}\) \(\frac{3}{2}\) \(\frac{12}{8}\) \(\frac{8}{4}\)

c. \(\frac{6}{4}\) \(\frac{16}{12}\) \(\frac{9}{6}\) \(\frac{3}{2}\)

Question 4.

Fill in the circle with <, =, or > to make a true number sentence. Justify each response by drawing a model (such as an area model or a number line), creating common denominators or numerators, or explaining a comparison to a benchmark fraction.

a.

b.

c.

d.

e.

f.

g.

h.

Question 5.

Fill in the blanks to make each number sentence true. Draw a number line, a tape diagram, or an area model to represent each problem.

a. ________ = \(\frac{5}{12}+\frac{6}{12}\)

b. \(\frac{53}{100}-\frac{27}{100}\) = ________

c. \(\frac{8}{12}\) + _______ = 1

d. \(\frac{3}{10}+\frac{6}{10}+\frac{2}{10}\) = _______

e. 1 – \(\frac{5}{8}\) = _______

f. \(\frac{7}{8}-\frac{3}{8}\) = __

Question 6.

Ray, Robin, and Freddy went fishing.

a. They spent \(\frac{1}{6}\) of their money on water, \(\frac{4}{6}\) of their money on lunch, and the rest on worms. What fraction of their money was spent on worms? Draw a model, and write an equation to solve.

b. Robin noticed her water bottle was \(\frac{1}{2}\) full and Freddy’s was \(\frac{3}{4}\) full. Robin said, “My \(\frac{1}{2}\) full bottle has more water than your \(\frac{3}{4}\) full bottle.” Explain how \(\frac{1}{2}\) bottle could be more than \(\frac{3}{4}\) bottle.

c. Ray, Robin, and Freddy each had identical containers of worms. Ray used \(\frac{3}{8}\) container. Robin used \(\frac{6}{8}\) container, and Freddy used \(\frac{7}{8}\) container. How many total containers of worms did they use?

d. Express the number of remaining containers as a product of a whole number and a unit fraction.

e. Six out of the eight fish they caught were trout. What is another fraction equal to 6 eighths? Write a number sentence, and draw a model to show the two fractions are equal.